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Finding the Fourth Proportional to 283,535.54, 424,974.23 and 114,846.08

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Solution

The fourth proportional to 283,535.54, 424,974.23 and 114,846.08 is: 172,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,535.54 : 424,974.23 = 114,846.08 : x
  2. Step 2: Convert to fraction form
    283,535.54/424,974.23 = 114,846.08/x
  3. Step 3: Cross multiply
    283,535.54x = 424,974.23 × 114,846.08
  4. Step 4: Simplify right side
    283,535.54x = 48,806,624,387.75
  5. Step 5: Solve for x
    x = 48,806,624,387.75/283,535.54
  6. Step 6: Final answer
    x = 172,135.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.